Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds

الملخص EN

We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold.

We discuss the boundedness of holomorphic sectional curvature of GCR-lightlike submanifolds of an indefinite complex space form.

We establish a condition for a GCR-lightlike submanifold of an indefinite complex space form to be null holomorphically flat.

We also obtain some characterization theorems for holomorphic sectional and holomorphic bisectional curvature.